A2-web immanants

Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A2-webs. We define consistent labelings of webs and use them to describe the coefficients of decompositions into reduced webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices and describe some further properties.

Original languageEnglish (US)
Pages (from-to)2183-2197
Number of pages15
JournalDiscrete Mathematics
Issue number15-16
StatePublished - Aug 28 2010
Externally publishedYes


  • Immanants
  • Temperley-Lieb-Martin algebra
  • Total positivity


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